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Finding the Fourth Proportional to 293,359,518,009.70, 440,039,277,014.55 and 293,359,518,009.70

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Solution

The fourth proportional to 293,359,518,009.70, 440,039,277,014.55 and 293,359,518,009.70 is: 440,039,277,014.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,359,518,009.70 : 440,039,277,014.55 = 293,359,518,009.70 : x
  2. Step 2: Convert to fraction form
    293,359,518,009.70/440,039,277,014.55 = 293,359,518,009.70/x
  3. Step 3: Cross multiply
    293,359,518,009.70x = 440,039,277,014.55 × 293,359,518,009.70
  4. Step 4: Simplify right side
    293,359,518,009.70x = 129,089,710,210,325,254,504,448
  5. Step 5: Solve for x
    x = 129,089,710,210,325,254,504,448/293,359,518,009.70
  6. Step 6: Final answer
    x = 440,039,277,014.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.